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Complex trajectories of a simple pendulum.
File(s)
Author(s)
Bender, CM
Holm, DD
Hook, DW
Type
Journal Article
Abstract
The motion of a classical pendulum in a gravitational field of strength g is explored. The complex trajectories as well as the real ones are determined. If g is taken to be imaginary, the Hamiltonian that describes the pendulum becomes PT-symmetric. The classical motion for this PT-symmetric Hamiltonian is examined in detail. The complex motion of this pendulum in the presence of an external periodic forcing term is also studied.
Version
Accepted version
Date Issued
2007-01-19
Citation
Journal of Physics A: Mathematical and Theoretical, 2007, 40 (3), pp.F81-F89
URI
URL
DOI
ISSN
1751-8113
Publisher
IOP PUBLISHING LTD
Start Page
F81
End Page
F89
Journal / Book Title
Journal of Physics A: Mathematical and Theoretical
Volume
40
Issue
3
Copyright Statement
© 2007 IOP Publishing Ltd
License URL
Identifier
http://uk.arxiv.org/abs/math-ph/0609068
Source Volume Number
40